Answer:
Step-by-step explanation:
Given function is,
f(x) = -4(x - 3)² + 1
A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.
And 4 represents that the parent function is stretched vertically by 4 units.
B). By comparing this equation with the vertex form of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of parabola.
Vertex of the given parabola → (3, 1)
C). Axis of symmetry → x = 3
D). Domain of the given quadratic function → (-∞, ∞)
Range of the given function → (-∞, 1)
